Lines
1.Find the equation of the line perpendicular to
y = (-5/3) x -7, through (1,3).
y = (5/3)x + 4/3
Find the midpoint between points (4, -5) and (3, 2)
(7/2, -3/2)
Solve for x: |2x -9|=3
(-oo, 3) U (6, oo)
Write logb (m22/n)as a sum or difference of logs (without powers):
14)Find the axis of symmetry for f(x) = 3x2-5x+4
x = 5/6
Daily Double:
solve: log3x+log3(x-2) = 1
3
Find the distance between points (4, -5) and (3, 2).
distance = sqrt (50)
Solve in interval notation: |2x+3| ≥ 7
(-oo, -5] U [2, oo)
35)Solve for x: 5e(x+2)=40
x = ln (8) - 2
How would you test if a graph is symmetric to the origin?
Reflect both around the x-axis and y-axis. if your original point is still on the graph, it is symmetric to the origin.
The population of Quincy has shown linear increase from 2004-2014. In 2004, the population of Quincy was 6,885. By 2014 it had risen to 7,955.
Find a linear equation P as a function of t, the number of years since 2004
P(t) = 107t+6885
Find the radius of
(x -3)2+ (y+4)2=49
radius = 7
Solve in interval notation: |2x+3| < 7
(-5, 2)
40)Solve the equation for x by completing the square:x2 - 6x=34
in the form ( )2 = __
(x - 3)2 = 43
33)Determine the relative maxima and minima (if any) of: f(x)= x5 -3x3
maxima (-1.342, 2.898)
minima: (1.342, -2.898)
If you have a line of y = -7x + 20. What would the slope of a line parallel to that be?
m = -7
Determine the equation of the circle with radius 6 and whose center is (3, -1)
(x - 3)2+ (y + 1)2 = 36
Solve in interval notation: |2x+3| < -7
DNE or no solution
Solve the quadratic equation: x2+13=7x algebraically (in exact, radical form)
x = 7/2 +/- i sqrt(3) /2
Use g(x) = √(x to answer the question: find the graph after it is shifted left 3 units, and then up 2.
g(x) = sqrt(x + 3) + 2
If the population is growing according to this equation, P(t) = 107t+6885, and it has been measured since 2004. When would the population reach 9000?
In 20 years or 2024
Find the center of
(x -3)2+ (y+4)2=49
(3, -4)
|2x+3| > - 7
(-oo, oo) or all real numbers
Solve in interval notation: x3 ≥ 4x2 -3x
[0,1] U [3,oo)
When graphing: g(x) = log2(x+1), is there an asymptote? is there an x-intercept or y-intercept?
vertical asymptote: x = -1
intercept (0,0)